English

A-infinity algebra of an elliptic curve and Eisenstein series

Algebraic Geometry 2015-05-14 v3

Abstract

We compute explicitly the A-infinity structure on the Ext-algebra of the collection (OC,L)({\mathcal O}_C, L), where LL is a line bundle of degree 1 on an elliptic curve CC. The answer involves higher derivatives of Eisenstein series.

Keywords

Cite

@article{arxiv.0911.2814,
  title  = {A-infinity algebra of an elliptic curve and Eisenstein series},
  author = {Alexander Polishchuk},
  journal= {arXiv preprint arXiv:0911.2814},
  year   = {2015}
}

Comments

13 pages, 3 figures; v3: added remark on the limit at the cusp